On the representation of integers by indefinite binary Hermitian forms

Details On the representation of integers by indefinite binary Hermitian forms On the representation of integers by indefinite binary Hermitian forms

2010-04-19

arxiv.org/abs/1004.3211v1

Mathematics

Number Theory

9 pages

Scientific paper

Given an integral indefinite binary Hermitian form f over an imaginary
quadratic number field, we give a precise asymptotic equivalent to the number
of nonequivalent representations, satisfying some congruence properties, of the
rational integers with absolute value at most s by f, as s tends to infinity.

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